Question

evaluate: 45 sin²60+3tan²30-8sin45°×cos45°​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

sin60° = √3/2

sin²60° = 3/4

tan30° = 1/√3

tan²30° = 1/3

sin45° = cos45° = 1/√2

45 sin²60+3tan²30-8sin45°×cos45°

$= 45( \frac{3}{4} ) + 3( \frac{1}{3} ) - 8( \frac{1}{ \sqrt{2} } )( \frac{1}{ \sqrt{2} })$

$= \frac{125}{4} + 1 - 4$

$= \frac{125}{4} - 3 = \frac{125 - 12}{4}$

$= \frac{113}{4}$